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Xelga [282]
3 years ago
14

Rectangular classroom seats 72 students. If the seats were rearragned with 3 more seats rows in each row, the classroom would ha

ve 2 fewer rows.
Find the original number in each row?
[Hint: Let the original number of seats in a row be "X".]
Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0
<span>Let the original number of seats in a row be x;
</span>Let the number rows be y;

( x + 3) * (y - 2 )= 72 and x * y = 72 => 72 + 3 * y - 2 * x = 72 => 3 * y = 2 * x;
=> x is divisible by 3;

1. x = 3 => y = 72 / 3 => y = 24;
2. x = 6 => y = 72 / 6 => y = 12;
3. x = 9 => y = 72 / 9 => y = 8;
4. x = 12 => y = 72 / 12 =. y = 6;
5. x = 24 =. y = 72 / 24 => y = 3;
6. x = 36 => y = 72 / 36 => y = 2;
7. x = 72 => y = 72 / 72 => y = 1;

My analysis tell me that the right answer is 9 seats in a row and 8 rows;
The original number in each row is 9.
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This is what my classmate posted. 
1. The radius of my cake is 6 inches and I can cut 8 pieces.
2. (2,-3)


we know that
1) the radius of the cake is r=6 in and the cake will be cut into 8 pieces
2) the coordinates of any point in the coordinate plane is (2,-3)

part 1) what would be the central angle of each slice of cake?

The central angle of each slice would be found by dividing the total central angle of a circle (360°) by the number of slices (8), 
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the answer part 1) is
Each slice would have a central angle of 45°.

Part 2) If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?

The degree measure of the intercepted arc would be 2*45°=90°

The length in inches of the intercepted arc could be found:
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the formula to calculate the arc length is
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Part 3) What is the circumference of the cake?

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the answer part 3) is
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